Least Common Multiple
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Question

Find the Least Common Multiple (LCM) of the numbers 12 and 24.

Answer

$12=({2}^{2})(3)$

$24=({2}^{3})(3)$

The LCM of 12 and 24 is the product of the largest powers of each prime factor in both.

Thus the LCM of 12 and 24

$=({2}^{3})(3)$

$=24$